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A178299 Number of collinear point 4-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid 0
0, 15, 234, 2820, 31176, 333840, 3546144, 37807680, 406924416, 4432154880 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..9.

Index entries for linear recurrences with constant coefficients, signature (36, -476, 2736, -5760) conjectured.

FORMULA

Conjecture: a(n) = 3*8^n+3*10^n/2-5*6^n+12^n/2. a(n)= 36*a(n-1) -476*a(n-2) +2736*a(n-3) -5760*a(n-4). G.f.: 3*x*(5-102*x+512*x^2)/((12*x-1)*(6*x-1)*(8*x-1)*(10*x-1)). [R. J. Mathar May 24 2010]

CROSSREFS

Sequence in context: A250418 A231411 A097185 * A097582 A057007 A209118

Adjacent sequences:  A178296 A178297 A178298 * A178300 A178301 A178302

KEYWORD

nonn

AUTHOR

R. H. Hardin, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 24 2010

STATUS

approved

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Last modified August 17 01:56 EDT 2017. Contains 290631 sequences.